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Finding the Fourth Proportional to 7,165.59, 10,748.28 and 2,235.29

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Solution

The fourth proportional to 7,165.59, 10,748.28 and 2,235.29 is: 3,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.59 : 10,748.28 = 2,235.29 : x
  2. Step 2: Convert to fraction form
    7,165.59/10,748.28 = 2,235.29/x
  3. Step 3: Cross multiply
    7,165.59x = 10,748.28 × 2,235.29
  4. Step 4: Simplify right side
    7,165.59x = 24,025,469.06
  5. Step 5: Solve for x
    x = 24,025,469.06/7,165.59
  6. Step 6: Final answer
    x = 3,352.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.